🔶21 - Continuity and Discontinuity of a Function

🔶21 - Continuity and Discontinuity of a Function

In this video, we shall prove whether a function is continuous or not at a point a.

A function is continuous at a point a, if
a. f(a) is defined
b. the left hand limit = right hand limit
c. general limit of f(x) = f(a)
if even one condition is violented, the function is not continuous hence, discontinuous at a

The limit (L)of a function is what the function approaches, when a number x gets very close to a. The limit of a function does not need to be defined when x = a, the only interest is how the function is defined when x gets much closer to a.

L = lim f(x) as x approaches a.

for the limit of a function to exist, the left hand limit should be equal to the right hand limit. We shall solve tons of examples

00:00 - Continuity
02:30 - Discontinuity
06:33 - Question 1
10:40 - Question 2
13:52 - Question 3
18:24 - Question 4

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[EsanOlami-rzmq]

I literally just watched this for the sake of it, not expecting to understand. I'm surprised I could solve the last two questions in my head just from listening. Wow

[ebenezerelorm]

Please if condition 2 which says the left hand limit should be equal to the right hand limit should be satisfied for a function to be continues, how then can we have a function to be continues at only one side say left hand continues or right hand continues
I don't know if you get the point I'm trying to figure out 😥

[evanstwedeer]

There's something wrong with your voice 😟